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## Chen, Gui-Qiang G.

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 Author ID: chen.gui-qiang-g Published as: Chen, Gui-Qiang; Chen, Gui-Qiang G.; Chen, Guiqiang; Chen, G.-Q.; Chen, G.; Chen, G. Q.; Chen, Gui-qiang; Chen, Guiqiang G.; Chen, Gui Qiang; Chen, G. G. External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
 Documents Indexed: 222 Publications since 1982, including 9 Books
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#### Co-Authors

 26 single-authored 25 Wang, Dehua 21 Feldman, Mikhail 13 Frid, Hermano 12 Slemrod, Marshall 9 Xiang, Wei 8 Zhang, Yongqian 6 LeFloch, Philippe Gerard 6 Torres, Monica 5 Chen, Jun 5 Glimm, James G. 5 Jerome, Joseph W. 5 Su, Bo 5 Trivisa, Konstantina 4 Ding, Xia-xi 4 Hoff, David 4 Karlsen, Kenneth Hvistendahl 4 Li, Siran 4 Lu, Yunguang 4 Luo, Peizhu 4 Yuan, Hairong 4 Zhu, Xiping 3 Cao, Daomin 3 Chang, Tung 3 Christoforou, Cleopatra C. 3 Dafermos, Constantine M. 3 Huang, Feimin 3 Kan, Pui Tak 3 Li, Tianhong 3 Li, Yachun 3 Perepelitsa, Misha 3 Perthame, Benoît 3 Wang, Tianyi 2 Bae, Myoungjean 2 Deng, Xuemei 2 DiBenedetto, Emmanuele 2 Even, Nadine 2 Fang, Beixiang 2 Klingenberg, Christian 2 Kuang, Jie 2 Kukreja, Vaibhav 2 Li, Banghe 2 Li, YanYan 2 Liu, Hailiang 2 Liu, Tai-Ping 2 Majumdar, Apala 2 Qian, Zhongmin M. 2 Rascle, Michel 2 Secchi, Paolo 2 Wagner, David Hobson 2 Wang, Tao 2 Yang, Shuli 2 Zhang, Bo 2 Zhang, Rongfang 2 Zhu, Dianwen 2 Ziemer, William Paul 1 Acharya, Amit 1 Al-saedi, Ahmed Eid Salem 1 Ball, John M. 1 Bressan, Alberto 1 Chang, Tong 1 Chen, Anna L. 1 Chen, Shuxing 1 Clelland, Jeanne Nielsen 1 Comi, Giovanni E. 1 Dan, Osborne 1 Ding, Qian 1 Du, Qiang 1 Freeman, Randy A. 1 Gasper, George Jun 1 Holden, Helge 1 Hong, Jiaxing 1 Hsu, Elton P. 1 Hsu, T. R. 1 Hu, Jingchen 1 Junca, Stéphane 1 Knops, Robin J. 1 Kratka, Milan 1 Levermore, C. David 1 Lewicka, Marta 1 Li, Dening 1 Li, QinFeng 1 Li, Tatsien 1 Li, Yanyan 1 Liu, Chun 1 Liu, Jianguo 1 Liu, Jian Guo 1 Maa, Jerome P.-Y. 1 Pang, Peter H. C. 1 Pinsky, Mark Allan 1 Rigby, Matthew 1 Ruan, Weihua 1 Russell, David L. 1 Rustichini, Aldo 1 Schrecker, Matthew R. I. 1 Shu, Chi-Wang 1 Song, Kyungwoo 1 Tadmor, Eitan 1 Tan, Dechun 1 Toro, Eleuterio F. 1 Tzavaras, Athanasios E. ...and 7 more Co-Authors
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#### Serials

 26 Archive for Rational Mechanics and Analysis 13 Journal of Differential Equations 10 SIAM Journal on Mathematical Analysis 10 Acta Mathematica Scientia 9 Communications in Mathematical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Discrete and Continuous Dynamical Systems 7 Communications on Pure and Applied Mathematics 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Proceedings of the American Mathematical Society 4 Chinese Annals of Mathematics. Series B 4 Communications in Partial Differential Equations 3 Mathematics of Computation 3 Indiana University Mathematics Journal 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Physica D 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Communications on Pure and Applied Analysis 3 Contemporary Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Advances in Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Methods and Applications of Analysis 2 Matemática Contemporânea 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Hyperbolic Differential Equations 2 Springer Proceedings in Mathematics & Statistics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Journal of Partial Differential Equations 1 Chinese Science Bulletin 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 The Asian Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Interfaces and Free Boundaries 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Pure and Applied Mathematics Quarterly 1 Annals of Mathematics Studies 1 The IMA Volumes in Mathematics and its Applications 1 Series in Contemporary Applied Mathematics CAM 1 Advanced Modeling and Optimization 1 Science China. Mathematics 1 Discontinuity, Nonlinearity, and Complexity 1 Nonlinear Analysis. Theory, Methods & Applications 1 Philosophical Transactions A. Royal Society of London
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#### Fields

 200 Partial differential equations (35-XX) 134 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 14 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 8 Measure and integration (28-XX) 8 Mechanics of deformable solids (74-XX) 7 Real functions (26-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Relativity and gravitational theory (83-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

171 Publications have been cited 3,305 times in 1,814 Documents Cited by Year
Hyperbolic conservation laws with stiff relaxation terms and entropy. Zbl 0806.35112
Chen, Gui-Qiang; Levermore, C. David; Liu, Tai-Ping
1994
Formation of $$\delta$$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. Zbl 1038.35035
Chen, Gui-Qiang; Liu, Hailiang
2003
Divergence-measure fields and hyperbolic conservation laws. Zbl 0942.35111
Chen, Gui-Qiang; Frid, Hermano
1999
Global solutions of nonlinear magnetohydrodynamics with large initial data. Zbl 1001.76118
Chen, Gui-Qiang; Wang, Dehua
2002
Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type. Zbl 1015.35075
Chen, Gui-Qiang; Feldman, Mikhail
2003
Existence and continuous dependence of large solutions for the magnetohydrodynamic equations. Zbl 1036.35126
Chen, Gui-Qiang; Wang, Dehua
2003
Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics. Zbl 0689.76022
Ding, Xiaxi; Chen, Gui-Qiang; Luo, Peizhu
1989
Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603
Chen, Gui-Qiang; Liu, Hailiang
2004
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
2003
Zero relaxation and dissipation limits for hyperbolic conservation laws. Zbl 0797.35113
Chen, Gui-Qiang; Liu, Tai-Ping
1993
Global solutions to the compressible Navier-Stokes equations for a reacting mixture. Zbl 0771.35044
Chen, Gui-Qiang
1992
Compressible Euler-Maxwell equations. Zbl 1019.82023
Chen, Gui-Qiang; Jerome, Joseph W.; Wang, Dehua
2000
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Global solutions to the compressible Euler equations with geometrical structure. Zbl 0857.76073
Chen, Gui-Qiang; Glimm, James
1996
Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics. III. Zbl 0643.76086
Chen, Guiqiang
1986
Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data. Zbl 0977.35104
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2000
On nonlinear stochastic balance laws. Zbl 1261.60062
Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H.
2012
Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations. Zbl 1075.76036
Chen, Gui-Qiang; Feldman, Mikhail
2004
Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow. Zbl 1205.35188
Chen, Gui-Qiang G.; Perepelitsa, Mikhail
2010
Global solutions of shock reflection by large-angle wedges for potential flow. Zbl 1277.35252
Chen, Gui-Qiang; Feldman, Mikhail
2010
Existence and stability of compressible current-vortex sheets in three-dimensional magnetohydrodynamics. Zbl 1172.76016
Chen, Gui-Qiang; Wang, Yaguang
2008
Stability of Riemann solutions with large oscillation for the relativistic Euler equations. Zbl 1068.35173
Chen, Gui-Qiang; Li, Yachun
2004
Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics. I. Zbl 0643.76084
Ding, Xiaxi; Chen, Guiqiang; Luo, Peizhu
1985
The Cauchy problem for the Euler equations for compressible fluids. Zbl 1230.35096
Chen, Gui-Qiang; Wang, Dehua
2002
Extended divergence-measure fields and the Euler equations for gas dynamics. Zbl 1036.35125
Chen, Gui-Qiang; Frid, Hermano
2003
Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation. Zbl 0914.35102
Wang, Dehua; Chen, Gui-Qiang
1998
Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data. Zbl 1022.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2003
Existence and stability of supersonic Euler flows past Lipschitz wedges. Zbl 1121.76055
Chen, Gui-Qiang; Zhang, Yongqian; Zhu, Dianwen
2006
Global steady subsonic flows through infinitely long nozzles for the full Euler equations. Zbl 1298.35138
Chen, Gui-Qiang G.; Deng, Xuemei; Xiang, Wei
2012
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws. Zbl 1158.35062
Chen, Gui-Qiang; Ziemer, William P.; Torres, Monica
2009
Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations. Zbl 1333.35168
Chen, Gui-Qiang; Huang, Fei-Min; Wang, Tian-Yi
2016
On the 2-D Riemann problem for the compressible Euler equations I: Interaction of shocks and rarefaction waves. Zbl 0874.76031
Chang, Tung; Chen, Gui-Qiang; Yang, Shuli
1995
Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. Zbl 1084.35034
Chen, Gui-Qiang; Karlsen, Kenneth H.
2005
Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics. Zbl 1029.76045
Chen, Gui-Qiang; Frid, Hermano; Li, Yachun
2002
Existence theory for the isentropic Euler equations. Zbl 1027.76043
Chen, Gui-Qiang; LeFloch, Philippe G.
2003
Spectral viscosity approximations to multidimensional scalar conservation laws. Zbl 0799.35148
Chen, Gui-Qiang; Du, Qiang; Tadmor, Eitan
1993
Convergence of shock capturing schemes for the compressible Euler-Poisson equations. Zbl 0858.76051
Chen, G.-Q.; Wang, D.
1996
Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles. Zbl 1131.35061
Chen, Gui-Qiang; Chen, Jun; Feldman, Mikhail
2007
Compressible Euler equations with general pressure law. Zbl 0970.76082
Chen, Gui-Qiang; LeFloch, Philippe G.
2000
Decay of entropy solutions of nonlinear conservation laws. Zbl 0942.35031
Chen, Gui-Qiang; Frid, Hermano
1999
Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics. II. Zbl 0643.76085
Ding, Xiaxi; Chen, Guiqiang; Luo, Peizhu
1985
Existence and stability of multidimensional transonic flows through an infinite nozzle of arbitrary cross-sections. Zbl 1190.76158
Chen, Gui-Qiang; Feldman, Mikhail
2007
Global solutions to the Navier-Stokes equations for compressible heat-conducting flow with symmetry and free boundary. Zbl 1072.35141
Chen, Gui-Qiang; Kratka, Milan
2002
Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations. Zbl 0958.35094
Chen, Gui-Qiang; Frid, Hermano
2001
Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws. Zbl 0962.35122
Chen, Gui-Qiang; Rascle, Michel
2000
On the theory of divergence-measure fields and its applications. Zbl 1024.28009
Chen, Gui-Qiang; Frid, Hermano
2001
Global entropy solutions to exothermically reacting, compressible Euler equations. Zbl 1027.35070
Chen, Gui-Qiang; Wagner, David H.
2003
Isometric immersions and compensated compactness. Zbl 1208.53006
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
Remarks on spherically symmetric solutions of the compressible Euler equations. Zbl 0877.35100
Chen, Gui-Qiang
1997
Hyperbolic systems of conservation laws with a symmetry. Zbl 0753.35051
Chen, Gui-Qiang
1991
Transonic nozzle flows and free boundary problems for the full Euler equations. Zbl 1142.35510
Chen, Gui-Qiang; Chen, Jun; Song, Kyungwoo
2006
Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge. Zbl 1138.35057
Chen, Gui-Qiang; Li, Tian-Hong
2008
Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312
Chen, Gui-Qiang; Chen, Jun
2007
Vanishing viscosity method for transonic flow. Zbl 1140.76014
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2008
Regularity of solutions to regular shock reflection for potential flow. Zbl 1170.35031
Bae, Myoungjean; Chen, Gui-Qiang; Feldman, Mikhail
2009
Large-time behavior of entropy solutions of conservation laws. Zbl 0926.35085
Chen, Gui-Qiang; Frid, Hermano
1999
$$L^1$$-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. Zbl 1096.35072
Chen, Gui-Qiang; Karlsen, Kenneth H.
2006
Relativistic Euler equations for isentropic fluids: stability of Riemann solutions with large oscillation. Zbl 1068.35099
Chen, Gui-Qiang; Li, Yachun
2004
Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080
Chen, Gui-Qiang; DiBenedetto, Emmanuele
2001
A multidimensional Piston problem for the Euler equations for compressible flow. Zbl 1077.35090
Chen, Gui-Qiang; Chen, Shu-Xing; Wang, Dehua; Wang, Zejun
2005
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems. Zbl 1195.35211
Chen, Gui-Qiang; Even, Nadine; Klingenberg, Christian
2008
On the $$2$$-D Riemann problem for the compressible Euler equations. II: Interaction of contact discontinuities. Zbl 1032.76062
Chang, Tung; Chen, Gui-Qiang; Yang, Shuli
2000
On the Navier-Stokes equations for exothermically reacting compressible fluids. Zbl 1032.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2002
Shock diffraction by convex cornered wedges for the nonlinear wave system. Zbl 1286.35204
Chen, Gui-Qiang; Deng, Xuemei; Xiang, Wei
2014
Remarks on DiPerna’s Paper “Convergence of the Viscosity Method for Isentropic Gas Dynamics”. Zbl 0888.35066
Chen, Gui-Qiang
1997
Divergence-measure fields, sets of finite perimeter, and conservation laws. Zbl 1073.35156
Chen, Gui-Qiang; Torres, Monica
2005
Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data. Zbl 1323.35136
Chen, Gui-Qiang G.; Perepelitsa, Mikhail
2015
Euler equations and related hyperbolic conservation laws. Zbl 1092.35062
Chen, Gui-Qiang
2005
Potential theory for shock reflection by a large-angle wedge. Zbl 1135.35357
Chen, Gui-Qiang; Feldman, Mikhail
2005
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. Zbl 1176.35031
Chen, Gui-Qiang; Perthame, Benoît
2009
Solutions for a nonlocal conservation law with fading memory. Zbl 1129.35049
Chen, Gui-Qiang; Christoforou, Cleopatra
2007
Compactness methods and nonlinear hyperbolic conservation laws. Zbl 0959.35115
Chen, Gui-Qiang
2000
The method of quasidecoupling for discontinuous solutions to conservation laws. Zbl 0797.35112
Chen, Gui-Qiang
1992
The mathematics of shock reflection-diffraction and von Neumann’s conjectures. Zbl 1403.35001
Chen, Gui-Qiang G.; Feldman, Mikhail
2018
Global entropy solutions in $$L^\infty$$ to the Euler equations and Euler-Poisson equations for isothermal fluids with spherical symmetry. Zbl 1059.35094
Chen, Gui-Qiang; Li, Tian-Hong
2003
Stability of compressible vortex sheets in steady supersonic Euler flows over Lipschitz walls. Zbl 1129.35013
Chen, Gui-Qiang; Zhang, Yongqian; Zhu, Dianwen
2007
Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number. Zbl 1140.76032
Chen, Gui-Qiang; Christoforou, Cleopatra; Zhang, Yongqian
2008
Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1286.35160
Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong
2013
Propagation and cancellation of oscillations for hyperbolic systems of conservation laws. Zbl 0727.35085
Chen, Gui-Qiang
1991
Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits. Zbl 0912.92001
Chen, Gui-Qiang; Jerome, Joseph W.; Zhang, Bo
1997
A separation principle for dynamical delayed output feedback control of chaos. Zbl 0985.37049
Tian, Y.-P.; Chen, G.
2001
Structure of Riemann solutions for 2-dimensional scalar conservation laws. Zbl 0851.35085
Chen, Gui-Qiang; Li, Dening; Tan, Dechun
1996
Existence and the singular relaxation limit for the inviscid hydrodynamic energy model. Zbl 0948.76007
Chen, Gui-Qiang; Jerome, Joseph W.; Zhang, Bo
1998
The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries. Zbl 1212.35346
Chen, Guiqiang; Dan, Osborne; Qian, Zhongmin
2009
The study on application way of the compensated compactness theory. Zbl 0685.35067
Chen, Guiqiang; Lu, Yunguang
1989
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles. Zbl 1412.35236
Chen, Gui-Qiang G.; Huang, Fei-Min; Wang, Tian-Yi; Xiang, Wei
2019
Two-dimensional steady supersonic exothermically reacting Euler flow past Lipschitz bending walls. Zbl 1374.35304
Chen, Gui-Qiang G.; Kuang, Jie; Zhang, Yongqian
2017
Kolmogorov’s theory of turbulence and inviscid limit of the Navier-Stokes equations in $${\mathbb{R}}^3$$. Zbl 1232.35114
Chen, Gui-Qiang; Glimm, James
2012
Prandtl-Meyer reflection for supersonic flow past a solid ramp. Zbl 1275.35146
Bae, Myoungjean; Chen, Gui-Qiang; Feldman, Mikhail
2013
A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions. Zbl 1206.35193
Chen, Gui-Qiang; Qian, Zhongmin
2010
Analysis on models for exothermically reacting, compressible flows with large discontinuous inital data. Zbl 1075.35036
Chen, Gui-qiang; Trivisa, Konstantina
2005
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
2004
Free boundary problems and transonic shocks for the Euler equations in unbounded domains. Zbl 1170.35483
Feldman, Mikhail; Chen, Gui Qiang
2004
Asymptotic stability of Riemann waves for conservation laws. Zbl 0886.35095
Chen, Gui-Qiang; Frid, Hermano
1997
Existence of entropy solutions to two-dimensional steady exothermically reacting Euler equations. Zbl 1313.35217
Chen, Guiqiang; Xiao, Changuo; Zhang, Yongqian
2014
Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding. Zbl 1194.53047
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
The vanishing viscosity method in one-dimensional thermoelasticity. Zbl 0810.35055
Chen, Gui-Qiang; Dafermos, Constantine M.
1995
Shallow water equations: viscous solutions and inviscid limit. Zbl 1388.35124
Chen, Gui-Qiang; Perepelitsa, Mikhail
2012
Entropies and flux-splittings for the isentropic Euler equations. Zbl 0980.35096
Chen, Guiqiang; LeFloch, P. G.
2001
Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow. Zbl 1445.35247
Chen, Gui-Qiang G.; Feldman, Mikhail; Xiang, Wei
2020
Loss of regularity of solutions of the Lighthill problem for shock diffraction for potential flow. Zbl 1439.35327
Chen, Gui-Qiang; Feldman, Mikhail; Hu, Jingchen; Xiang, Wei
2020
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles. Zbl 1412.35236
Chen, Gui-Qiang G.; Huang, Fei-Min; Wang, Tian-Yi; Xiang, Wei
2019
Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime. Zbl 1420.35206
Chen, Gui-Qiang G.; Secchi, Paolo; Wang, Tao
2019
Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets. Zbl 1428.26024
Chen, Gui-Qiang G.; Comi, Giovanni E.; Torres, Monica
2019
Invariant measures for nonlinear conservation laws driven by stochastic forcing. Zbl 1439.35055
Chen, Gui-Qiang G.; Pang, Peter H. C.
2019
The mathematics of shock reflection-diffraction and von Neumann’s conjectures. Zbl 1403.35001
Chen, Gui-Qiang G.; Feldman, Mikhail
2018
Global weak rigidity of the Gauss-Codazzi-Ricci equations and isometric immersions of Riemannian manifolds with lower regularity. Zbl 1407.53040
Chen, Gui-Qiang G.; Li, Siran
2018
Vanishing viscosity approach to the compressible Euler equations for transonic nozzle and spherically symmetric flows. Zbl 1406.35245
Chen, Gui-Qiang G.; Schrecker, Matthew R. I.
2018
Isometric embedding via strongly symmetric positive systems. Zbl 1391.53017
Chen, Gui-Qiang; Clelland, Jeanne; Slemrod, Marshall; Wang, Dehua; Yang, Deane
2018
Global weak solutions for the compressible active liquid crystal system. Zbl 1406.35265
Chen, Gui-Qiang G.; Majumdar, Apala; Wang, Dehua; Zhang, Rongfang
2018
Fluids, geometry, and the onset of Navier-Stokes turbulence in three space dimensions. Zbl 1398.76060
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2018
Two-dimensional steady supersonic exothermically reacting Euler flow past Lipschitz bending walls. Zbl 1374.35304
Chen, Gui-Qiang G.; Kuang, Jie; Zhang, Yongqian
2017
Global existence and regularity of solutions for active liquid crystals. Zbl 1373.35235
Chen, Gui-Qiang; Majumdar, Apala; Wang, Dehua; Zhang, Rongfang
2017
Stability of transonic shocks in steady supersonic flow past multidimensional wedges. Zbl 1372.35036
Chen, Gui-Qiang; Fang, Beixiang
2017
Fluids, elasticity, geometry, and the existence of wrinkled solutions. Zbl 1382.35203
Acharya, Amit; Chen, Gui-Qiang G.; Li, Siran; Slemrod, Marshall; Wang, Dehua
2017
Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems. Zbl 1391.35274
Chen, Gui-Qiang
2017
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations. Zbl 1383.35146
Chen, Gui-Qiang G.; Chen, Jun; Feldman, Mikhail
2017
Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations. Zbl 1333.35168
Chen, Gui-Qiang; Huang, Fei-Min; Wang, Tian-Yi
2016
Transonic flows with shocks past curved wedges for the full Euler equations. Zbl 1339.35224
Feldman, Mikhail; Chen, Jun; Chen, Gui-Qiang
2016
Incompressible limit of solutions of multidimensional steady compressible Euler equations. Zbl 1348.35175
Chen, Gui-Qiang G.; Huang, Feimin; Wang, Tian-Yi; Xiang, Wei
2016
Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data. Zbl 1323.35136
Chen, Gui-Qiang G.; Perepelitsa, Mikhail
2015
Transport in a three-zone wetland: flow velocity profile and environmental dispersion. Zbl 1333.92070
Wang, Ping; Chen, G. Q.; Jiang, C. B.; Alsaedi, A.; Wu, Z.; Zeng, L.
2015
Weak continuity and compactness for nonlinear partial differential equations. Zbl 1329.35003
Chen, Gui-Qiang G.
2015
Free boundary problems in shock reflection/diffraction and related transonic flow problems. Zbl 1353.76045
Chen, Gui-Qiang; Feldman, Mikhail
2015
Shock diffraction by convex cornered wedges for the nonlinear wave system. Zbl 1286.35204
Chen, Gui-Qiang; Deng, Xuemei; Xiang, Wei
2014
Existence of entropy solutions to two-dimensional steady exothermically reacting Euler equations. Zbl 1313.35217
Chen, Guiqiang; Xiao, Changuo; Zhang, Yongqian
2014
Entropy, elasticity, and the isometric embedding problem: $$\mathbb M^3\rightarrow\mathbb R^6$$. Zbl 1293.53006
Chen, Gui-Qiang G.; Slemrod, Marshall; Wang, Dehua
2014
Existence and stability of global solutions of shock diffraction by wedges for potential flow. Zbl 1284.35282
Chen, Gui-Qiang G.; Xiang, Wei
2014
Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1286.35160
Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong
2013
Prandtl-Meyer reflection for supersonic flow past a solid ramp. Zbl 1275.35146
Bae, Myoungjean; Chen, Gui-Qiang; Feldman, Mikhail
2013
Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Zbl 1290.76054
Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong
2013
Weakly nonlinear geometric optics for hyperbolic systems of conservation laws. Zbl 1288.35340
Chen, Gui-Qiang; Xiang, Wei; Zhang, Yongqian
2013
Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. Zbl 1267.35004
Chen, Gui-Qiang G.; Yuan, Hairong
2013
Entropy and convexity for nonlinear partial differential equations. Zbl 1292.35121
Ball, John M.; Chen, Gui-Qiang G.
2013
On nonlinear stochastic balance laws. Zbl 1261.60062
Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H.
2012
Global steady subsonic flows through infinitely long nozzles for the full Euler equations. Zbl 1298.35138
Chen, Gui-Qiang G.; Deng, Xuemei; Xiang, Wei
2012
Kolmogorov’s theory of turbulence and inviscid limit of the Navier-Stokes equations in $${\mathbb{R}}^3$$. Zbl 1232.35114
Chen, Gui-Qiang; Glimm, James
2012
Shallow water equations: viscous solutions and inviscid limit. Zbl 1388.35124
Chen, Gui-Qiang; Perepelitsa, Mikhail
2012
Characteristic discontinuities and free boundary problems for hyperbolic conservation laws. Zbl 1270.35308
Chen, Gui-Qiang; Wang, Ya-Guang
2012
Remarks on the contributions of Constantine M. Dafermos to the subject of conservation laws. Zbl 1265.35001
Chen, Guiqiang G.; Tzavaras, Athanasios E.
2012
Multidimensional conservation laws: overview, problems, and perspective. Zbl 1257.35122
Chen, Gui-Qiang G.
2011
On the structure of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 1252.35194
Chen, Gui-Qiang; Torres, Monica
2011
Shock reflection-diffraction and nonlinear partial differential equations of mixed type. Zbl 1246.35135
Chen, Gui-Qiang G.; Feldman, Mikhail
2011
Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow. Zbl 1205.35188
Chen, Gui-Qiang G.; Perepelitsa, Mikhail
2010
Global solutions of shock reflection by large-angle wedges for potential flow. Zbl 1277.35252
Chen, Gui-Qiang; Feldman, Mikhail
2010
Isometric immersions and compensated compactness. Zbl 1208.53006
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions. Zbl 1206.35193
Chen, Gui-Qiang; Qian, Zhongmin
2010
Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding. Zbl 1194.53047
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
A fluid dynamic formulation of the isometric embedding problem in differential geometry. Zbl 1187.35135
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2010
On degenerate partial differential equations. Zbl 1235.35003
Chen, Gui-Qiang G.
2010
Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws. Zbl 1158.35062
Chen, Gui-Qiang; Ziemer, William P.; Torres, Monica
2009
Regularity of solutions to regular shock reflection for potential flow. Zbl 1170.35031
Bae, Myoungjean; Chen, Gui-Qiang; Feldman, Mikhail
2009
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. Zbl 1176.35031
Chen, Gui-Qiang; Perthame, Benoît
2009
The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries. Zbl 1212.35346
Chen, Guiqiang; Dan, Osborne; Qian, Zhongmin
2009
Uniqueness of transonic shock solutions in a duct for steady potential flow. Zbl 1170.35103
Chen, Gui-Qiang; Yuan, Hairong
2009
Stability of transonic shock-fronts in three-dimensional conical steady potential flow past a perturbed cone. Zbl 1154.35401
Chen, Gui-Qiang; Fang, Beixiang
2009
Evolution of discontinuity and formation of triple-shock pattern in solutions to a two-dimensional hyperbolic system of conservation laws. Zbl 1183.35227
Chen, Gui-Qiang; Wang, Dehua; Yang, Xiaozhou
2009
Shock reflection-diffraction phenomena and multidimensional conservation laws. Zbl 1196.35002
Chen, Gui-Qiang; Feldman, Mikhail
2009
Foreword. Zbl 1154.01314
Chen, Gui-Qiang; Hong, Jiaxing
2009
Existence and stability of compressible current-vortex sheets in three-dimensional magnetohydrodynamics. Zbl 1172.76016
Chen, Gui-Qiang; Wang, Yaguang
2008
Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge. Zbl 1138.35057
Chen, Gui-Qiang; Li, Tian-Hong
2008
Vanishing viscosity method for transonic flow. Zbl 1140.76014
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua
2008
Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems. Zbl 1195.35211
Chen, Gui-Qiang; Even, Nadine; Klingenberg, Christian
2008
Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number. Zbl 1140.76032
Chen, Gui-Qiang; Christoforou, Cleopatra; Zhang, Yongqian
2008
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles. Zbl 1131.35061
Chen, Gui-Qiang; Chen, Jun; Feldman, Mikhail
2007
Existence and stability of multidimensional transonic flows through an infinite nozzle of arbitrary cross-sections. Zbl 1190.76158
Chen, Gui-Qiang; Feldman, Mikhail
2007
Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. Zbl 1168.35312
Chen, Gui-Qiang; Chen, Jun
2007
Solutions for a nonlocal conservation law with fading memory. Zbl 1129.35049
Chen, Gui-Qiang; Christoforou, Cleopatra
2007
Stability of compressible vortex sheets in steady supersonic Euler flows over Lipschitz walls. Zbl 1129.35013
Chen, Gui-Qiang; Zhang, Yongqian; Zhu, Dianwen
2007
Dependence of entropy solutions in the large for the Euler equations on nonlinear flux functions. Zbl 1133.35066
Chen, Gui-Qiang; Christoforou, Cleopatra; Zhang, Yongqian
2007
Measure-theoretic analysis and nonlinear conservation laws. Zbl 1132.35416
Chen, Gui-Qiang; Torres, Monica; Ziemer, William P.
2007
Existence and stability of supersonic Euler flows past Lipschitz wedges. Zbl 1121.76055
Chen, Gui-Qiang; Zhang, Yongqian; Zhu, Dianwen
2006
Transonic nozzle flows and free boundary problems for the full Euler equations. Zbl 1142.35510
Chen, Gui-Qiang; Chen, Jun; Song, Kyungwoo
2006
$$L^1$$-framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations. Zbl 1096.35072
Chen, Gui-Qiang; Karlsen, Kenneth H.
2006
Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws. Zbl 1099.35062
Chen, Gui-Qiang; Junca, Stéphane; Rascle, Michel
2006
Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients. Zbl 1084.35034
Chen, Gui-Qiang; Karlsen, Kenneth H.
2005
A multidimensional Piston problem for the Euler equations for compressible flow. Zbl 1077.35090
Chen, Gui-Qiang; Chen, Shu-Xing; Wang, Dehua; Wang, Zejun
2005
Divergence-measure fields, sets of finite perimeter, and conservation laws. Zbl 1073.35156
Chen, Gui-Qiang; Torres, Monica
2005
Euler equations and related hyperbolic conservation laws. Zbl 1092.35062
Chen, Gui-Qiang
2005
Potential theory for shock reflection by a large-angle wedge. Zbl 1135.35357
Chen, Gui-Qiang; Feldman, Mikhail
2005
Analysis on models for exothermically reacting, compressible flows with large discontinuous inital data. Zbl 1075.35036
Chen, Gui-qiang; Trivisa, Konstantina
2005
Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603
Chen, Gui-Qiang; Liu, Hailiang
2004
Steady transonic shocks and free boundary problems in infinite cylinders for the Euler equations. Zbl 1075.76036
Chen, Gui-Qiang; Feldman, Mikhail
2004
Stability of Riemann solutions with large oscillation for the relativistic Euler equations. Zbl 1068.35173
Chen, Gui-Qiang; Li, Yachun
2004
Relativistic Euler equations for isentropic fluids: stability of Riemann solutions with large oscillation. Zbl 1068.35099
Chen, Gui-Qiang; Li, Yachun
2004
Centered difference schemes for nonlinear hyperbolic equations. Zbl 1063.65076
Chen, Gui-Qiang; Toro, Eleuterio F.
2004
Free boundary problems and transonic shocks for the Euler equations in unbounded domains. Zbl 1170.35483
Feldman, Mikhail; Chen, Gui Qiang
2004
Formation of $$\delta$$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. Zbl 1038.35035
Chen, Gui-Qiang; Liu, Hailiang
2003
Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type. Zbl 1015.35075
Chen, Gui-Qiang; Feldman, Mikhail
2003
Existence and continuous dependence of large solutions for the magnetohydrodynamic equations. Zbl 1036.35126
Chen, Gui-Qiang; Wang, Dehua
2003
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
2003
Extended divergence-measure fields and the Euler equations for gas dynamics. Zbl 1036.35125
Chen, Gui-Qiang; Frid, Hermano
2003
Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data. Zbl 1022.76056
Chen, Gui-Qiang; Hoff, David; Trivisa, Konstantina
2003
Existence theory for the isentropic Euler equations. Zbl 1027.76043
Chen, Gui-Qiang; LeFloch, Philippe G.
2003
Global entropy solutions to exothermically reacting, compressible Euler equations. Zbl 1027.35070
Chen, Gui-Qiang; Wagner, David H.
2003
Global entropy solutions in $$L^\infty$$ to the Euler equations and Euler-Poisson equations for isothermal fluids with spherical symmetry. Zbl 1059.35094
Chen, Gui-Qiang; Li, Tian-Hong
2003
Some recent methods for partial differential equations of divergence form. Zbl 1042.35008
Chen, Gui-Qiang
2003
Entropy solutions in $$L^\infty$$ for the Euler equations in nonlinear elastodynamics and related equations. Zbl 1063.74045
Chen, Gui-Qiang; Li, Banghe; Li, Tian-Hong
2003
...and 71 more Documents
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#### Cited by 1,459 Authors

 92 Chen, Gui-Qiang G. 31 Wang, Dehua 27 Shao, Zhiqiang 26 Yang, Hanchun 25 Karlsen, Kenneth Hvistendahl 25 Xin, Zhouping 24 Li, Yachun 24 Yuan, Hairong 23 Wang, Shu 23 Zhu, Changjiang 22 Huang, Feimin 21 Xiang, Wei 20 Frid, Hermano 20 Peng, Yuejun 20 Shen, Chun 20 Sheng, Wancheng 18 Lu, Yunguang 17 Risebro, Nils Henrik 17 Slemrod, Marshall 17 Tan, Zhong 17 Xu, Jiang 16 Chen, Shuxing 16 Du, Lili 16 Sun, Meina 15 Feldman, Mikhail 15 Hu, Yanbo 15 Qin, Yuming 15 Yang, Jianwei 15 Yang, Tong 15 Zhang, Yu 15 Zhao, Huijiang 14 Cheng, Hongjun 14 Ding, Min 14 Luo, Tao 14 Panov, Evgeniy Yu. 14 Yu, Huimin 13 Feireisl, Eduard 13 Kim, Eun Heui 13 Radkevich, Evgeniĭ Vladimirovich 13 Vasseur, Alexis F. 13 Wang, Tao 13 Yin, Gan 13 Yong, Wen-An 12 Lai, Geng 12 Liu, Hailiang 12 Yao, Zhengan 12 Yuen, Manwai 11 Andreianov, Boris 11 Coquel, Frédéric 11 Gess, Benjamin 11 Wang, Yi 11 Yin, Huicheng 11 Zheng, Yuxi 10 Li, Hailiang 10 Wang, Chunpeng 10 Xie, Chunjing 10 Zhang, Jianwen 10 Zhang, Kaijun 10 Zhang, Yongqian 9 Bae, Myoungjean 9 Berthon, Christophe 9 Feng, Yuehong 9 Hsiao, Ling 9 Huang, Lan 9 Kawashima, Shuichi 9 Kreml, Ondřej 9 Li, Jiequan 9 Li, Yeping 9 Marcati, Pierangelo 9 Mei, Ming 9 Natalini, Roberto 9 Pan, Ronghua 9 Secchi, Paolo 9 Shen, Wen 9 Tadmor, Eitan 9 Toro, Eleuterio F. 9 Tsuge, Naoki 9 Zhang, Yanyan 8 Berthelin, Florent 8 Cheng, Jianfeng 8 Christoforou, Cleopatra C. 8 Coclite, Giuseppe Maria 8 Dafermos, Constantine M. 8 Duan, Ben 8 Ducomet, Bernard 8 Fang, Beixiang 8 Guo, Lihui 8 Hofmanová, Martina 8 Jiang, Peng 8 Koley, Ujjwal 8 LeFloch, Philippe Gerard 8 Li, Siran 8 Palin, Vladimir Vladimirovich 8 Segura de León, Sergio 8 Tzavaras, Athanasios E. 8 Vallet, Guy 8 Wang, Qin 8 Wang, Zejun 8 Zhan, Huashui 7 Abreu, Eduardo ...and 1,359 more Authors
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#### Cited in 218 Serials

 222 Journal of Differential Equations 120 Journal of Mathematical Analysis and Applications 115 Archive for Rational Mechanics and Analysis 66 ZAMP. Zeitschrift für angewandte Mathematik und Physik 66 Journal of Hyperbolic Differential Equations 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 51 Journal of Mathematical Physics 51 Nonlinear Analysis. Real World Applications 47 SIAM Journal on Mathematical Analysis 37 Journal of Computational Physics 37 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 33 Communications in Mathematical Physics 26 Mathematics of Computation 24 Nonlinearity 23 Chinese Annals of Mathematics. Series B 21 Mathematical Methods in the Applied Sciences 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Communications in Partial Differential Equations 20 Quarterly of Applied Mathematics 20 Communications on Pure and Applied Analysis 19 Discrete and Continuous Dynamical Systems 18 Applicable Analysis 18 Journal of Mathematical Fluid Mechanics 17 Transactions of the American Mathematical Society 17 Applied Mathematics Letters 16 Acta Mathematicae Applicatae Sinica. English Series 14 Advances in Mathematics 14 Acta Applicandae Mathematicae 14 Physica D 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Journal of Functional Analysis 13 Proceedings of the American Mathematical Society 13 Journal of Scientific Computing 12 Journal of Mathematical Sciences (New York) 12 Science China. Mathematics 11 Numerische Mathematik 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Kinetic and Related Models 10 Journal of Computational and Applied Mathematics 10 Calculus of Variations and Partial Differential Equations 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Boundary Value Problems 9 Computers & Mathematics with Applications 9 Communications on Pure and Applied Mathematics 9 Applied Numerical Mathematics 9 NoDEA. Nonlinear Differential Equations and Applications 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Advances in Mathematical Physics 7 Applied Mathematics and Computation 7 SIAM Journal on Applied Mathematics 7 SIAM Journal on Scientific Computing 7 Acta Mathematica Sinica. English Series 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Networks and Heterogeneous Media 7 Stochastic and Partial Differential Equations. Analysis and Computations 6 Computer Methods in Applied Mechanics and Engineering 6 Abstract and Applied Analysis 6 European Journal of Mechanics. B. Fluids 5 Journal of Statistical Physics 5 Transport Theory and Statistical Physics 5 Inventiones Mathematicae 5 Japan Journal of Industrial and Applied Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers and Fluids 4 BIT 4 Indiana University Mathematics Journal 4 Stochastic Processes and their Applications 4 Bulletin of the American Mathematical Society. New Series 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Mathematics and Mechanics of Solids 4 Journal of the European Mathematical Society (JEMS) 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Evolution Equations 4 Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 3 Journal of Engineering Mathematics 3 Physics Letters. A 3 Mathematische Annalen 3 Rendiconti del Seminario Matematico della Università di Padova 3 Ricerche di Matematica 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Numerical Analysis 3 Studies in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical and Computer Modelling 3 Science in China. Series A 3 The Journal of Geometric Analysis 3 Journal of Dynamics and Differential Equations 3 Continuum Mechanics and Thermodynamics 3 Journal of Shanghai University 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Annals of Mathematics. Second Series 3 Differential Equations 3 Communications in Mathematical Analysis 3 Advances in Nonlinear Analysis 3 SMAI Journal of Computational Mathematics ...and 118 more Serials
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#### Cited in 43 Fields

 1,605 Partial differential equations (35-XX) 1,032 Fluid mechanics (76-XX) 209 Numerical analysis (65-XX) 99 Statistical mechanics, structure of matter (82-XX) 63 Probability theory and stochastic processes (60-XX) 55 Mechanics of deformable solids (74-XX) 51 Classical thermodynamics, heat transfer (80-XX) 30 Differential geometry (53-XX) 27 Optics, electromagnetic theory (78-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 26 Operations research, mathematical programming (90-XX) 25 Astronomy and astrophysics (85-XX) 20 Functional analysis (46-XX) 19 Real functions (26-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Measure and integration (28-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Relativity and gravitational theory (83-XX) 17 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Operator theory (47-XX) 11 Systems theory; control (93-XX) 8 Integral equations (45-XX) 6 Functions of a complex variable (30-XX) 6 Geophysics (86-XX) 5 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 5 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

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